Calculating probability of an event

[chengeto]

Calculate the probability of the following event :

\(\displaystyle A\cup (B\cap C)= (A\cup B) \cap (A\cup C)\)

I am stuck on how l would calculate the probabilities of (A\cup B) \cap (A\cup C)

 

[galactus]

Try a Venn diagram to show it. Do you have to do it 'algebraically'?.

 

[chengeto]

I have attached the venn diagram. So does this basically mean that my probability is :

\(\displaystyle A \cup B \cup C\)

 

[pka]

Calculate the probability of the following event :
\(\displaystyle A\cup (B\cap C)= (A\cup B) \cap (A\cup C)\)
I am stuck on how l would calculate the probabilities of (A\cup B) \cap (A\cup C)

There is really no question there.
That does not really make sense.
I think that you have not posted the complete question.
Have you?

 

[chengeto]

Calculate the probability of the following event :
\(\displaystyle A\cup (B\cap C)= (A\cup B) \cap (A\cup C)\)
I am stuck on how l would calculate the probabilities of (A\cup B) \cap (A\cup C)

There is really no question there.
That does not really make sense.
I think that you have not posted the complete question.
Have you?

That is the full question and it didn't even make sense to me.